时间模上二阶非线性阻尼动力方程的振动性分析

研究了时间模〖WTHZ〗T〖WTBZ〗上的一类具有阻尼项的二阶非线性中立型变时滞动力方程的振动性, 利用时间模上的微积分理论和大量不等式技巧, 基于Riccati变换技术和H函数法,得到了该方程的5个振动定理.特别地，获得的Hille型和Kamenev型振动准则推广并改进了一些相关文献的已知结果,并给出例子说明了定理假设条件是较宽松的.

Oscillation analysis of certain second order nonlinear damped dynamic equations on time scales

This paper studies the oscillations of a class of second order nonlinear neutral variable delay dynamic equations with a dampling term on a arbitrary time scale 〖WTHZ〗T〖WTBZ〗. By using the calculus theory on time scales and the inequality technique, as well as the generalized Riccati transformation and the method of H function, five oscillation theorems for the equations are presented. In particular, the Hille type and Kamenev type oscillation criteria obtained can ectend and improve some known results in other literatures. An examples is given to illustrate that the assumptions in our theorems are less restrictive.